Warga derivative containers and other generalized differentials

Research output: Contribution to journalConference article

9 Citations (Scopus)

Abstract

An axiomatic definition of the concept of a generalized differentiation theory (GDT) and a precise statement of the directional open mapping property (DOMP) is proposed. Then the definitions of some GDTs are outlined, such as the Warga derivative containers (WDCs), and the more recent theories of multidifferentials and generalized differential quotients (GDQs). These two types of theories are compared by means of examples.

Original languageEnglish (US)
Pages (from-to)4728-4732
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
StatePublished - Dec 1 2002
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: Dec 10 2002Dec 13 2002

Fingerprint

Container
Containers
Derivatives
Derivative
Open Mapping
Generalized Differentiation
Quotient

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

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abstract = "An axiomatic definition of the concept of a generalized differentiation theory (GDT) and a precise statement of the directional open mapping property (DOMP) is proposed. Then the definitions of some GDTs are outlined, such as the Warga derivative containers (WDCs), and the more recent theories of multidifferentials and generalized differential quotients (GDQs). These two types of theories are compared by means of examples.",
author = "Hector Sussmann",
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Warga derivative containers and other generalized differentials. / Sussmann, Hector.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 4, 01.12.2002, p. 4728-4732.

Research output: Contribution to journalConference article

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